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Alchen [17]
2 years ago
14

Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Mathematics
1 answer:
Anton [14]2 years ago
4 0

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = <u>6</u>

<u></u>

The formula for the nth term is :

  • aₙ = a₁rⁿ⁻¹
  • Common ratio (r) = quotient of consecutive terms
  • r = -12/6 = -2

Therefore, the nth term is :

  • aₙ = <u>6(-2)ⁿ⁻¹</u>
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The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions
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20’ / 5’ = 4

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40’ /5’ = 8

8 x 10” = 80”

Scaled dimension: 40” x 80”

6 0
3 years ago
Step by step plz <br> 2x^2 + x - 3
Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

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Divide both sides by 2:

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3 years ago
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3 0
3 years ago
Can someone help me with this please?
AVprozaik [17]

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.

8 0
2 years ago
The formula for density is d = m/v,
Mekhanik [1.2K]

Answer:

Kg per cm

or

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Step-by-step explanation:

This formula can be represented as something similar to miles per hour (or kilometers per hour). Looking at the fraction will eventually give you the distance for every hour once it its fully simplified.

Use this problem as an example. d=4/2 where 4 means kilograms and 2 means cubic meters. Once fully simplified to 2/1 you can say there is 2 kilograms per cubic meter which is considered your volume.

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